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Finding the Fourth Proportional to 13,019.99, 17,967.53 and 7,051.64

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Solution

The fourth proportional to 13,019.99, 17,967.53 and 7,051.64 is: 9,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.99 : 17,967.53 = 7,051.64 : x
  2. Step 2: Convert to fraction form
    13,019.99/17,967.53 = 7,051.64/x
  3. Step 3: Cross multiply
    13,019.99x = 17,967.53 × 7,051.64
  4. Step 4: Simplify right side
    13,019.99x = 126,700,481.04
  5. Step 5: Solve for x
    x = 126,700,481.04/13,019.99
  6. Step 6: Final answer
    x = 9,731.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.